please help me on a and f I dont know how to do these two th

please help me on (a) and (f) I don\'t know how to do these two

thanks

We define functions mapping R into R as follows: f(x) = x^3 - 4x, g(x) = l/(x^2 + 1), h(x) = x^4. Find (a) f o f (b) g o g (C) h o g (d)g o h (e)f o g o h (f)f o h o g (g) h o g o f

Solution

a) fof =f(fx) =(x^3-4x)^3 -4(x^3-4x)

=x^9-64x^3-3 x^3*4x(x^3-4x)-4x^3+16x

= x^9-64x^3-12x^7+48x^5-4x^3+16x

=x^9-12x^7+48x^5-68x^3+16x

f) 1st find hog   we got   goh = 1/(x^2+1)^4

fo(goh) = (1/x^2+1)^12-4(1/(x^2+1)^3   answer

please help me on (a) and (f) I don\'t know how to do these two thanks We define functions mapping R into R as follows: f(x) = x^3 - 4x, g(x) = l/(x^2 + 1), h(x

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